A FRACTIONAL-ORDER BOVINE BABESIOSIS EPIDEMIC TRANSMISSION MODEL WITH NONSINGULAR MITTAG-LEFFLER LAW

Ibrahim Slimane, Juan J. Nieto and Shabir Ahmad
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Ibrahim Slimane: Faculty of Exact Sciences and Informatics, UMAB Abdelhamid Ibn Badis P. O. Box 227, University of Mostaganem, 27000 Mostaganem, Algeria
Juan J. Nieto: ��Department of Statistics, Mathematical Analysis and Optimization, Galician Centre for Mathematical Research and Technology, University of Santiago de Compostela, 15782, Santiago de Compostela, Spain
Shabir Ahmad: ��Department of Mathematics, University of Malakand, Chakdara, Dir Lower, Khyber Pakhtunkhwa, Pakistan

FRACTALS (fractals), 2023, vol. 31, issue 02, 1-16

Abstract: In this paper, the model for bovine babesiosis epidemic transmission is analyzed using a fractional operator with a Mittag-Leffler kernel. The existence and uniqueness of the solution of the considered model is studied using real analysis. The Hyers–Ulam (HU) stability is investigated with the help of nonlinear functional analysis. The numerical results of the proposed model are deduced through the Adams–Bashforth technique, which is based on the two-step Lagrangian interpolation method. All results are simulated for a few fractional orders to observe the dynamics of the proposed model.

Keywords: Bovine Babesiosis; Fractional Operators; Existence and Stability Theory; Adams–Bashforth Technique (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23400339

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